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424511376 = 243194111353
BaseRepresentation
bin11001010011011…
…000011110010000
31002120210102010120
4121103120132100
51332133331001
6110042430240
713343200332
oct3123303620
91076712116
10424511376
111a8697753
12ba202380
1369c44283
1440545452
1527406236
hex194d8790

424511376 has 80 divisors (see below), whose sum is σ = 1182632640. Its totient is φ = 130775040.

The previous prime is 424511371. The next prime is 424511387. The reversal of 424511376 is 673115424.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (424511371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31716 + ... + 43068.

It is an arithmetic number, because the mean of its divisors is an integer number (14782908).

Almost surely, 2424511376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424511376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591316320).

424511376 is an abundant number, since it is smaller than the sum of its proper divisors (758121264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424511376 is a wasteful number, since it uses less digits than its factorization.

424511376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11424 (or 11418 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 424511376 is about 20603.6738471565. The cubic root of 424511376 is about 751.5590537783.

The spelling of 424511376 in words is "four hundred twenty-four million, five hundred eleven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2337 3116 4674 6232 9348 11353 12464 18696 22706 34059 37392 45412 68118 90824 136236 181648 215707 272472 431414 465473 544944 647121 862828 930946 1294242 1396419 1725656 1861892 2588484 2792838 3451312 3723784 5176968 5585676 7447568 8843987 10353936 11171352 17687974 22342704 26531961 35375948 53063922 70751896 106127844 141503792 212255688 424511376